| 可数基的Banach空间上的向量值函数的一些性质 |
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| 引用本文： | 刘玉波,李旗挺. 可数基的Banach空间上的向量值函数的一些性质[J]. 工科数学, 2014, 0(3): 59-64 |
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| 作者姓名： | 刘玉波 李旗挺 |
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| 作者单位： | 天津理工大学理学院天津300384 |
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| 摘 要： | 用初等的方法讨论了取值于具有可数基的Banach空间上的向量值函数的连续、可导、解析、可积及解析的充要条件等性质,得出取值于可数基的Banach空间上的向量值函数解析的两个充要条件.
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| 关 键 词： | 向量值函数 Banach空间 可数基 |
Some Properties of Vector-valued Function in Banach Space with Countable Base |
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| LIUYu-bo,LI Qi-ting. Some Properties of Vector-valued Function in Banach Space with Countable Base[J]. Journal of Mathematics For Technology, 2014, 0(3): 59-64 |
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| Authors: | LIUYu-bo LI Qi-ting |
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| Affiliation: | (School of Science, Tianjin University of Technology, Tianjin 300384, China) |
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| Abstract: | This paper discuss the continuity, derivative, analyticity, integrability and the analyticity of sufficient and necessary conditions of properties in Banach space with countable base by an elementary method, and finally we get two necessary and sufficient conditions of vector-valued functions analytically in Banach space with countable base. |
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| Keywords: | vector valued functions Banach space countable bas |
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